A pie chart has three sectors representing the distribution of budget into education (45°), healthcare (90°), and infrastructure (225°). What is the percentage of the budget alloca... A pie chart has three sectors representing the distribution of budget into education (45°), healthcare (90°), and infrastructure (225°). What is the percentage of the budget allocated to healthcare?
Understand the Problem
The question is asking for the percentage of the total budget that is allocated to healthcare, given the degrees of each sector in a pie chart for education, healthcare, and infrastructure. To solve this, we need to calculate the total degrees and then determine the proportion allocated to healthcare.
Answer
The percentage of the budget allocated to healthcare is 25%.
Answer for screen readers
The percentage of the budget allocated to healthcare is 25%.
Steps to Solve
- Calculate the total degrees in the pie chart
Add the degrees of all sectors to find the total:
$$ Total , Degrees = 45° + 90° + 225° = 360° $$
- Determine the degrees allocated to healthcare
The degrees allocated to healthcare is already given as 90°.
- Calculate the percentage of the budget allocated to healthcare
To find the percentage, use the formula:
$$ Percentage = \left( \frac{Degree , of , Healthcare}{Total , Degrees} \right) \times 100 $$
Substituting in the values:
$$ Percentage = \left( \frac{90°}{360°} \right) \times 100 $$
- Perform the calculation
Now, calculate the percentage:
$$ Percentage = \left( \frac{90}{360} \right) \times 100 = 25% $$
The percentage of the budget allocated to healthcare is 25%.
More Information
The calculations show that healthcare receives a quarter of the total budget based on the pie chart's representation. Pie charts provide a visual representation of proportional data, making it easy to understand budget allocations.
Tips
- Miscalculating the total degrees of the pie chart, which should always total 360°.
- Forgetting to multiply by 100 when calculating the percentage.
